Answer with explanation:
Two triangles can be similar in following way
1. S AS=Side Angle Side proportionality
2. A A or A A A= Angle Angle Angle Similarity
3. SSS = Side Side Side Proportionality
To prove⇒ Δ Z Y V ~ Δ X W V
∠ Z V Y= ∠ W V X→→→Vertically opposite angles
So, any of other two angles that is
∠Y ≅ ∠W and ∠Z≅∠X , if they are equal or congruent then the two triangles can be proven Similar by AA or AAA called Angle Angle or Angle- Angle- Angle Similarity.
Option D
∠Y ≅ ∠W and ∠Z≅∠X